do not scale with the same roughness exponent for different values of \(q\) , i.e. for which \(G_q(r)\sim r^{\alpha _q}\)  with a \(q\) -dependent \(\alpha _q\) . In those cases, the morphologies are said to be multi-affine [1]}. This kind of surfaces appear in e.g. surface growth models related with isotropic percolation [2]}, [3]}.
